Places will be allocated on Wednesday as part of the first national “offer day” when admissions are coordinated by all 152 local authorities in England at the same time.

A surge in the birth rate combined with an influx of migrants in some areas has driven an increase in the number of four and five-year-olds entering the education system, leading to concerns that more infants will miss out on their first choice place.

The Department for Education has handed local authorities £5 billion to create additional primary school places over the term of this parliament, with a further £2.35bn made available between 2015 and 2017.

According to new data, 238,344 additional primary places were created between 2010 and 2013, often by expanding existing schools.

The figures emerged as the DfE published a series of local authority “scorecards” outlining how many school places are needed in each area and the action being taken to address the shortage.

Of those new places, around nine-in-10 were in permanent school buildings, with just over 10 per cent were in temporary classrooms.

It emerged that 79 per cent of total places were also in schools rated “outstanding” or “good” by Ofsted, it was revealed.

But this means that a fifth of new places are schools given Ofsted’s two lowest ratings – “requires improvement” and “inadequate”.

In some areas, the proportion of new places created in poor schools rises much higher, figures show.

Wolverhampton Council created 68 per cent of new school places in underperforming primaries between 2010 and 2013, with 66 per cent in Medway, 63 per cent in Bracknell Forest, 61 per cent in Doncaster, 58 per cent in Shropshire and 54 per cent in Thurrock.

Eleven local councils created at least four-in-10 new primary places in schools rated as not good enough, including Westminster, Middlesbrough, Peterborough, Luton and Barking and Dagenham.

Nationally, just over two per cent of new school places were created in adequate primaries and 19 per cent were in those that require improvement.

A DfE spokesman said: “Making sure there are enough school places for the growing population is one of the department’s top priorities.

“We know that creating those places is a big challenge, but the scorecards published today show we are on track.

"Most councils have made great strides towards meeting their statutory requirement to create enough schools places, but a minority are not performing as well.

“By publishing scorecards we are shining a light on the situation across the country and ensuring councils are well aware of their responsibility to ensure every child in their area has a school place.”